Experimenters injected a growth hormone gene into thousands of carp eggs. Of the 215 carp that grew from these eggs, 30 incorporated the gene into their DNA (Science News, May 20, 1989). With a confidence of 95%, what is the margin of error for the proportion of all carp that would incorporate the gene into their DNA?
1) 0.0011
2) 0.0032
3) 0.0388
4) 0.0236
5) 0.0463